508478705280 has 3072 divisors, whose sum is σ = 2475041587200. Its totient is φ = 96745881600.

The previous prime is 508478705257. The next prime is 508478705303. The reversal of 508478705280 is 82507874805.

508478705280 is a `hidden beast` number, since 5 + 0 + 8 + 47 + 8 + 70 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (508478705257) and next prime (508478705303).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8335716450 + ... + 8335716510.

It is an arithmetic number, because the mean of its divisors is an integer number (805677600).

Almost surely, 2^508478705280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508478705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237520793600).

508478705280 is an abundant number, since it is smaller than the sum of its proper divisors (1966562881920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508478705280 is a wasteful number, since it uses less digits than its factorization.

508478705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 508478705280 in words is "five hundred eight billion, four hundred seventy-eight million, seven hundred five thousand, two hundred eighty".